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Question: Answered & Verified by Expert
If $A=P(\{1,2\})$ where $P$ denotes the power set, then which one of the following is correct?
MathematicsSets and RelationsNDANDA 2010 (Phase 1)
Options:
  • A $\{1,2\} \subset A$
  • B $1 \in A$
  • C $\phi \notin A$
  • D $\{1,2\} \in A$
Solution:
1904 Upvotes Verified Answer
The correct answer is: $\{1,2\} \in A$
$A=P(\{1,2\})=\{\phi,\{1\},\{2\},\{1,2\}\}$
(\because: Power set is the collection of all subsets of the set A) From above it is clear that $\{1,2\} \in \mathrm{A}$

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